Skip to main content
SpringerLink
Log in

Comments on lightlike translations and applications in relativistic quantum field theory

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

In the algebraic framework of quantum field theory we consider one parameter subgroups of lightlike translations. After establishing a few preliminary properties we prove a certain cluster property and then exhibit the close connection between such subgroups and a class of type III factors. A few applications of this connection are also discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Emch, G.: Algebraic methods in statistical mechanics and QFT. New York: Wiley Interscience 1972

    Google Scholar 

  2. Buchholz, D.: Collision theory for massless fermions. Preprint, CERN TH 1955

  3. Driessler, W.: Thesis (to appear)

  4. Araki, H.: Progr. Theor. Phys.32, 956–965 (1964)

    Google Scholar 

  5. Dell'Antonio, G.F.: Commun. math. Phys.9, 81–117 (1968)

    Google Scholar 

  6. Kadison, R.V.: Journ. Math. Phys.4, 1511–1516 (1963)

    Google Scholar 

  7. Guenin, M., Misra, B.: Nuovo Cim.30, Ser. 10, 1272–1290 (1963)

    Google Scholar 

  8. Pedersen, G., Takesaki, M.: Acta. Math.130, 53–87 (1973)

    Google Scholar 

  9. Takesaki, M.: Lecture Notes 128. Berlin Heidelberg New York: Springer 1970

    Google Scholar 

  10. Connes, A.: Ann. Scient. de l'Ecole Norm. Sup. 4th series, Vol.6, 133–252 (1973)

    Google Scholar 

  11. Doplicher, S., Haag, R., Roberts, J.E.: Commun. math. Phys.13, 1–23 (1969)

    Google Scholar 

  12. Maison, D.: Commun. math. Phys.10, 48–51 (1968)

    Google Scholar 

  13. Sadowski, P., Woronowicz, S.L.: Rep. Math. Phys.2, 113–120 (1971)

    Google Scholar 

  14. Misra, B.: Helv. Phys. Acta38, 189–206 (1965)

    Google Scholar 

  15. Dixmier, J.: Les algèbres d'operateurs dans l'espace Hilbertien. Paris: Gauthier Villars 1969

    Google Scholar 

  16. Roos, H.: Commun. math. Phys.16, 238–246 (1970)

    Google Scholar 

  17. Schlieder, E.: Commun. math. Phys.13, 215–225 (1969)

    Google Scholar 

  18. Kraus, K.: Zeitschr. f. Phys.181, 1–12 (1964)

    Google Scholar 

  19. De Facio, B.: Causal independence in algebraic QFT (preprint)

  20. von Neumann, J.: Collected works, Vol. III. New York: Pergamon Press 1961

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Theoretical Physics, University of Bielefeld, D-4800, Bielefeld, Federal Republic of Germany

    W. Driessler

Authors
  1. W. Driessler
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by R. Haag

Rights and permissions

Reprints and permissions

About this article

Cite this article

Driessler, W. Comments on lightlike translations and applications in relativistic quantum field theory. Commun.Math. Phys. 44, 133–141 (1975). https://doi.org/10.1007/BF01608826

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01608826

Keywords

Search

Navigation